Hyperbolic geometry, on the other hand, is alien to most people, (especially fractal like the projections into 2d and 3d), so when people wave their hands and say 'non-Eyclidean geometry!', that's what they usually actually mean.

Try actually watching some of the hyper-rogue gameplay: https://www.youtube.com/watch?v=lX5eCfRSCKY

I assure you, it's more interesting as a geometric visualisation than planetary annihilation is.

More technical reading here: https://math.stackexchange.com/questions/1407550/what-hyperb...